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Finding the Fourth Proportional to 837.01, 1,155.07 and 458.91

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Solution

The fourth proportional to 837.01, 1,155.07 and 458.91 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.01 : 1,155.07 = 458.91 : x
  2. Step 2: Convert to fraction form
    837.01/1,155.07 = 458.91/x
  3. Step 3: Cross multiply
    837.01x = 1,155.07 × 458.91
  4. Step 4: Simplify right side
    837.01x = 530,067.69
  5. Step 5: Solve for x
    x = 530,067.69/837.01
  6. Step 6: Final answer
    x = 633.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.